Classification, reduction, group invariant solutions and conservation laws of the Gardner-KP equation |
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| Authors: | Bin Xu Xi-Qiang Liu |
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| Institution: | aSchool of Mathematical Sciences, Liaocheng University, Liaocheng, 252059 Shandong, China |
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| Abstract: | In this paper, symmetries and group invariant solutions to the Gardner-KP equation are obtained by using the direct symmetry method. At the same time, we find the corresponding Lie algebra, optimal system, classification and the similarity reductions to the equation, respectively. Our exact solutions generalize the corresponding results obtained by Wazwaz. In addition, the conservation laws of Gardner-KP equation are also given. |
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| Keywords: | Gardner-KP equation Direct symmetry method Optimal system Lie group Conservation laws |
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